Thursday, December 01, 2016

Daily Math Time

In addition to daily Reading Time and Writing/Drawing Time, parents should spend a small amount of structured fun time each day with each child on math.

From the earliest age, children can be taught to say "one, two, three" as they're lifted into the air or as they touch their index finger to each of three similar objects. Counting objects to ten, twenty, and more naturally follows, as the child gains facility and understanding.

Math has been called the science of pattern, and patterns are everywhere we look. Simple binary patterns like on and off, sitting and standing, quiet and noisy are all easy to point out and ask your child about. Later on, more complex patters like colors in kitchen tiles or lines on the floor can be explored.

Geometry is everywhere also. Various shapes from dots to lines to triangles to circles can be identified in the surrounding environment ("Can you find a green rectangle on the road up ahead?"A red octagon?"

Comparative relationships such as "more than," "less than," and "equal to" can be introduced to young children and reinforced in a number of different ways (short, shorter, long, longest, etc.).

Eventually, the two basic arithmetic operations – addition and subtraction – can be explained and demonstrated as putting things together to form one larger group or separating large groups into smaller ones.

Once basic math facts are memorized, simple story problems can be created and solved on the fly, and positive/negative numbers (and operations with them) can be introduced.

Math manipulatives can play a central role is making Daily Math Time interesting, engaging, and productive for all concerned.

As always, the focus is on fun, lots of hugs and high-fives, taking things slowly and at the child's own pace, experiencing tons of success, and quitting structured time early to keep them wanting more (start with just a few minutes a day, and build slowly from there).

Additional resources and ideas follow:

Math is Everywhere ... and it's Fun!

Math Fact Cards, Apps, Calculation Training Sites

Scratch Coding Resources

Early Math Toys, Aids, and Activities

Early Puzzles, Problem Solving, Math Games

Math Exploration Station

Math Worksheets and Drills

Children's Books for Teaching Math

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, November 01, 2016

Daily Writing Time

The three essential academic skills are: reading, writing, and basic mathematics. Without firm command of these domains, students will find it difficult to achieve success and take pleasure in learning.

The importance of reading to children on a daily basis is widely understood. Less well appreciated is that small amounts of structured daily time at home devoted to developing number sense ("numeracy") and writing skills can have similarly profound positive effects and confer equally powerful academic advantages on children.

As soon as a child shows interest in scribbling, Daily Writing Time can be inaugurated as Daily Drawing Time. Learning to correctly grip crayons, pencils, and pens (like holding a Chop Stick) is the first order of business.

Next is the creation of basic shapes as part of the child's improvised artistic creations: dots, straight lines, crosses, angles, corners, boxes, triangles, circles, hooks, human figures, etc.

Once basic shapes are mastered, learning to read and write ABC's comes next. Following this, children can be encouraged to write and illustrate short stories containing one to several sentences (parents can model the fun of authorship by creating and reading to their son or daughter short, simple, hand-illustrated books featuring that child in the starring role).

Finally, learning to use the computer keyboard to speed the writing process and compose multi-paragraph essays occupies Daily Writing Time.

"But won't my child learn all this in school?"

Yes, of course.

Nevertheless, the head start you provide by teaching your child very basic academic skills at an early age, well ahead of time, will promote success, engender confidence, and develop powerful associations within your child's mind between academic learning and close, happy times with Mom and Dad.

The benefits of regular academic play time at home (always emphasizing fun and commensurate with a child's natural inclinations and abilities) are many and profound, and the value of engaging, daily learning time with Tutor Mom or Dad is inestimable.

Below are helpful resources to enhance Daily Writing Time:

Reusable Dry Erase Pockets and Educational Templates

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, October 01, 2016

Daily Reading Time

Reading is the foremost, fundamental academic skill, and the importance of parents taking the time each day to read books with each of their children is well known.

Daily Reading Time is an opportunity for parents to connect individually with each child, and share with them a love of books and imagination. Reading periods needn't be overly long, but should be a regular, daily activity from the earliest possible age, conducted at the same time each day, if at all possible.

Mom and Dad can read to their children the books they most loved when they, themselves, were so young and impressionable. This is one of the thrills and joys of parenthood not to be lost among the rush of personal and family busyness that can easily overtake life with young kids.

Multitudes of fantastic story books are available to grace your children's early lives, but don't forget great kid-oriented nonfiction titles, too. Reading carefully selected early nonfiction nurtures a child's innate curiosity about the world and fosters a questioning mind that will be a valuable asset in later years.

Aside from the obvious benefits of making learning fun and developing critical academic skills at an early age, Daily Reading Time often remains a cherished, life-long memory of childhood, of loving time each day with Mom and Dad, of scintilating exploration of worlds both imagined and real.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Thursday, September 01, 2016

Scratch Coding Resources



Scratch is a fantastic way to learn algorithmic thinking and develop basic coding and program design skills.

Simple enough for young children to master (rudimentary reading skills are required), a Visual Programming Language (VPL) like Scratch is all you need at first and will take early learners a long way before they'll want or need to start writing their own code in a traditional language like Python or Java.

Books and online resources abound for those interested in using Scratch to get started on the path toward learning to code. Below are some I recommend:

Monday, August 01, 2016

Balancing Algebraic Equations



The metaphor of a pan-balance is often used to illustrate the definition of "equation:"

A declaration that two things have the same value (i.e. A = B).

It's an apt analogy, and a multitude of virtual pan-balances exist online to model solving simple algebraic equations.

The idea is that treating both sides of the pan-balance equally (i.e. doing exactly the same thing to both sides) maintains balance while allowing users to isolate unknown numbers on one side and known numbers on the other, from which the value of the unknown can be easily obtained.

It's a lot of fun to play around with balancing equations using a virtual pan-balance manipulative. In doing so, students develop an instinctive sense of how "=" works, a requisite component of intuitive "number sense" required for successful mathematical study.

After learning to balance simple equations using a virtual balance, students can progress to recording the balancing steps on paper – using algebraic notation – rather than carrying out the steps online. Eventually, they can do the steps mentally, using their working memory in place of pencil and paper.

Voila! Mastery!

Following are sites and apps I recommend for practicing balancing simple equations:

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Sites

Math Is Fun: Balance When Adding and Subtracting

Hoodah Math: Algebra – Balance Equations

Math Playground: Model Algebra

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Apps

The Fun Way to Learn Algebra: Hands-On Equations (iOS)

The Fun Way to Learn Algebra: Hands-On Equations (Android)

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.